Finding the Third Proportional to 122,286 and 188,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,286 : 188,188.50 = 188,188.50 : x
2. Step 2: Convert to fraction form
   122,286/188,188.50 = 188,188.50/x
3. Step 3: Cross multiply
   122,286x = 188,188.50 × 188,188.50
4. Step 4: Simplify right side
   122,286x = 35,414,911,532.25
5. Step 5: Solve for x
   x = 35,414,911,532.25/122,286
6. Step 6: Final answer
   x = 289,607.24